Journal of the Ramanujan Mathematical Society
Volume 40, Issue 4, December 2025 pp. 433–443.
Lauricella hypergeometric series F{(n)}{B} over finite fields
Authors:
Arjun Singh Chetry and Gautam Kalita
Author institution:Department of Mathematics, Digboi College (Autonomous), Digboi, Assam 786 171, India.
Summary:
In this paper, we develop a finite field analogue for one of the
Lauricella series F{(n)}{B}. Using finite field analogue of the
multinomial coefficient, we express the Lauricella series
F{(n)}{B} in terms of binomial coefficients over finite fields.
We further deduce some transformation and reduction formulas
together with certain generating functions
for the Lauricella series F{(n)}{B} over finite fields.
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